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Assimilative Memory; or, How to Attend and Never Forget cover

Assimilative Memory; or, How to Attend and Never Forget

Chapter 16: Remarks.
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About This Book

The author presents a systematic method of memory training built on the principle that learning improves when attention and active thinking create associative relations rather than rote repetition. He distinguishes sensuous or rote memory from assimilative memory, explains the two stages of memory (first impression and revival), and defines attention as the will directing intellectual activity. The book offers step-by-step techniques and exercises for preventing mind-wandering and memorizing names, sequences, numbers, dates, prose and verse, and other facts, including analytic substitutions, decomposition/recomposition, and unification strategies. Practical examples and drills accompany guidance aimed at forming habits of attention and thinking to make recall more reliable.

Diamond. Dying. } In. by s.

A plain case of Inclusion by sound.

Dying.     Cholera. } Con.

We know that cholera causes numerous deaths; that people die in great numbers wherever it prevails.

Cholera. Terror. } Con.

Concurrence includes all cases of Cause and Effect, Instrument or Means to End, Person by whom or Thing by which, &c. Cholera causes terror. Terror is the effect of the existence of the cholera. Now carefully read over the eleven words just considered, and think out the relations between them.

  • Good Princess.
  • Pocahontas.
  • Capt. John Smith.
  • Anvil.
  • Heavy.
  • Gravitation.
  • Sir Isaac Newton.
  • “Diamond.”
  • Dying.
  • Cholera.
  • Terror.

Now recite them from memory at least five times forward and backward, and then recite the entire thirty words from Building to Terror, and from Terror to Building, the same number of times.

For further training, let each pupil recite the foregoing series of thirty words forward and backward two or three times per day for an entire month. He need not stop further study, but whatever else he learns let him at least practise this daily recital for one month.

REMARKS ON THE THREE LAWS.

1. Since words have different meanings, we may sometimes find that a pair of words exemplify all three Laws, as plough and sword. The relation between them may be In., since both of them are cutting instruments; one cuts and hacks human beings and the other cuts and turns over the soil. It may be Ex., in a metaphorical sense, as one is the emblem of peace and the other of war, and it may be Con., as we have often thought of them together as we read in the Bible of beating swords into ploughshares.

2. Learning a series of words by heart by thinking of the Relations between them is wholly unlike learning it by rote. In the latter case, three or five words at a time or all ten words are read over from 10 to 20 times. This reading secures scarcely anything more than a succession of sights to the eye or sounds to the ear. No study of the words is required. The action of the intellect is not invoked. It is the mere sensuous impression of Eye or Ear or both together that holds the words together, and thus many or endless repetitions are required to memorise a series which a conscious thoughtful use of those Laws enables us to learn by one painstaking perusal.

Another way of learning such a series by rote, is to limit the extent of the repetitions. Instead of reading over the entire series or a large part of it many times, the series is slowly read over once or several times by pairs, only two words at a time, but the method of acquirement is precisely the same as in the former rote process. Let us look at this last proceeding in detail. (1) It is usually applied only where there is a natural suggestiveness between each pair of words. (2) But no previous study is prescribed in regard to what constitutes this suggestiveness, nor are the varieties of it set forth and required to be mastered. (3) But above all, no study of the pairs of words themselves is insisted upon. On the contrary, all such study is emphatically deprecated. The mind is not allowed to be directed to anything in particular in reading over the pairs. It must be left without a rudder or guide to float wherever it listeth. It is not to be “interfered with” by our will. What is this but intellectual dawdling? A method of Vacuity pure and simple—the exact opposite of Mental Assimilation. (4) If in reading over many times an entire series, only the ear and eye are mainly affected and the intellect is left to wander, much more must it wander here. In running over many words, the intellect might be arrested by chance. But here the series consisting of two words only and all attempt to occupy or engage the intellect being purposely avoided, and nothing being done to enchain the attention to the consideration of the meaning or sounds of the two words, or the relation between them, the intellect wanders away from want of occupation. If when we wish to retain in our memories a paragraph of fine sentiment or lucid reasoning, we find our attention wanders, so it must wander here where only a pair of words is before it, and we are not only not furnished with any tests or guides or stimulus or motive for examining the words or for finding the relation between them, but on the contrary we are forbidden to interfere with the spontaneous action of the mind. The intellect might be abolished so far as its participation in such an operation is concerned. What is absorbed in such a case is absorbed intuitively and blindly. Hence we see that what is accomplished by these two processes of rote learning is weak impressions upon the memory and a distinct cultivation of mind wandering.

This method of rote learning by pairs was invented and first taught by Thomas Hallworth in New York in 1822. His method was adopted without acknowledgment by Carl Otto in Germany and Austria, and his followers in England and America. Footnote [A]

3. The opposite of these two methods of rote learning is my method, which injects an active process between each pair of words. Each pair of words is appraised and dovetailed by the Laws of Memory. And hence the reader can notice the fundamental difference between all other methods and mine. My method is to keep the mind in an assimilating, absorbing condition when trying to learn by making the Intellect stay with the Senses. In the process of endless repetition or learning by rote as evinced in the two methods above given, the mind is in a passive state. But when learning the above series by my method, it was kept in an active state. The intellect was directed by the will into certain channels and kept there. It was searching for what was in common or different between the pairs of words. It was noting points of likeness and classifying them. This is thinking. And the most vivid First Impressions always result from the action of the intellect upon the sensuous stimuli from ear and eye. Intellectual Assimilation is a proper name for my methods.

4. The Three Laws are Forms or Modes of Mental Assimilation. But when used consciously for any length of time, they operate much more efficaciously than formerly—and they greatly increase the Impressionability and Revivability—as any student can affirm who faithfully carries out my instructions, and then his General Memory becomes largely improved without a conscious use of my method.

A TRAINING EXERCISE IN ATTENTION.

Whoever wishes to increase his permanent Memory power and his power of Attention must not omit to learn and practise the following exercise precisely as I prescribe. He will experience great satisfaction in carrying out my directions to the letter, because his conformity in this and in other respects will bring the reward of a new memory power almost immediately. And if he were to disregard my directions, he will have no one to blame but himself.

He must write down the first two words, “Ice” and “Slippery,” the latter word under the former. Let him ascertain the exact relation between these words. He will find that “Ice” is a concrete word, and “Slippery” indicates a quality of “Ice” and of other things. He places opposite the abbreviation In., by A. and C. In a similar way he proceeds to write down one word at a time, and at once ascertaining its relation to the previous word, and indicating that relation by the appropriate abbreviation. When he has analysed ten words in this painstaking manner he must recall them backward and forward from memory at least five times, and each time faster than the other.

Let him deal with the next ten in a similar manner in all respects, and then let him repeat the twenty words both ways at least five times, and so on till he has analysed, learned and recited the entire one hundred words; and, finally, let him recite the one hundred words both ways at least once a day for thirty days, in connection with the Building Series and the Presidential Series and Series of English Sovereigns hereafter given.

As the result of this Analysis and recitals, the pupil will make these Laws of In., Ex., and Con. operate hereafter in an unconscious manner, with a power a hundred-fold greater than before practising this method.

  • Ice.
  • Slippery.
  • Smooth.
  • Rough.
  • Ruffian.
  • Prison.
  • Crime.
  • Crimea.
  • War.
  • Army.
  • Navy.
  • Ship.
  • Sail.
  • Auction.
  • Bid.
  • Competition.
  • Petition.
  • Signatures.
  • Cygnet.
  • Net.
  • Ensnare.
  • Capture.
  • Cap.
  • Gun.
  • Hunter.
  • Hounds.
  • Bark.
  • Tree.
  • Woods.
  • Prairie.
  • Air.
  • Wind.
  • Hurricane.
  • Reign.
  • Governor.
  • Steam-engine.
  • Newspaper.
  • Ream.
  • Quire.
  • Inquire.
  • Inquest.
  • Jury.
  • Decide.
  • Cider.
  • Apple.
  • Orchard.
  • Charred.
  • Burned.
  • Stove.
  • Fire.
  • Hose.
  • Rose.
  • Bush.
  • Guerilla.
  • Rill.
  • Water-power.
  • Manufacture.
  • Man.
  • Manager.
  • Conductor.
  • Cars.
  • Track.
  • Trotting.
  • Fair.
  • Foul.
  • Chanticleer.
  • Chandelier.
  • Gas.
  • Coal.
  • Mine.
  • Shaft.
  • Arrow.
  • Quiver.
  • Indian.
  • Black-Hawk.
  • Chicken.
  • Feathers.
  • Down.
  • Up.
  • Upstart.
  • Begin.
  • Bee.
  • Honey.
  • Hives.
  • Wives.
  • Mormon.
  • Brigham Young.
  • Old.
  • Cold.
  • Winter.
  • Summer.
  • Ft. Sumter.
  • Stone.
  • Mason.
  • Maize.
  • Fodder.
  • Cattle.
  • Catalogue.
  • Log.
  • Saw-mill.

I occasionally find that a bright, highly-gifted person makes a poor learner of my system, because he acts on hasty inferences of his own instead of attending to my long-tried and never-failing methods. To illustrate: Instead of analysing the above series in pairs, and discovering and noting the relation between each pair as I require, he reads over the entire series. His previous study of the Memory Laws has, however, so impressed his mind with their influence that he is able to retain this series after only two or three perusals. Or, instead of reading over the entire series, he may even slowly read the series in pairs, but without analysis, without trying to ascertain and realise the exact relation between the words. This is the method of Vacuity or Dawdling formerly mentioned. But his study of the three Laws in learning the Building Series has so sharpened and quickened his appreciation of In., Ex., and Con., that he learned the one hundred words in this wrong way very readily.

But why should he not follow my directions? Why not pursue my plan and thereby acquire the full power of my system instead of the small portion of that power gained by disregarding my direction? On the other hand, pupils of only average natural ability are very apt to follow my directions to the letter and thereby acquire an amount of Memory Improvement which the above gifted, but non-complying pupil, seems unable to understand.

If a person is afflicted with a very bad memory in any or all respects, and particularly if this memory weakness is traceable to mind-wandering, or if it co-exist with the latter infirmity, such a person may find it best to make a series of from one hundred to five hundred words on the model of the foregoing series, and learn the same and recite it daily both ways for a month or more in addition to the prescribed exercises, and if any trace of mind-wandering remain after that, let him make and memorise another series of the same extent and practise it for the same period. The worst cases of mind-wandering and of weak memories always yield to this training treatment.

In like manner, but in much inferior degree, the recital of what has just been heard, such as anecdotes, narratives, contents of plays, lectures, &c., not only tends to fix the recited matter in the memory, but also to strengthen the memory generally, provided the recital takes place shortly after the listening, as that is like a continuation of the original experience. ←ToC


TRAINING THE INTELLECT TO STAY WITH THE SENSES.

Attention is the Will directing the Intellect into some particular channel and keeping it there. There are virtually two processes involved in Attention. The Intellect is directed into a particular channel, but to keep it there, all intruders must be excluded. To illustrate. A student attempts to learn a proposition in Geometry. To do this he must keep his mind on the printed explanations, and if his thoughts attempt to fly away, he must repress that attempt. To guide his mind into the channel of the printed exposition, he calls into play the Directory power of the attention. To prevent intruders or extruders from withdrawing his mind from the text, he exercises the Inhibitory function of the Attention.

To fully understand what takes place when trying to study, let the pupil recall that there are three sources of knowledge.

First: The Senses carry into his mind reports from the outside world—Sensation—sight of the letters, words and sentences, &c. Second: The Intellect operates on these undigested elementary Sense-reports, or Sensations, and find relations among them. This is Perception, or relations among Sensations. Third: The mind acts on the perceived relations and finds relations among them. This is Reason or relations among relations.

Now the geometrical student in reading the printed instructions to himself or in reading them aloud, might simply occupy his eye, or eye and ear with them and his Reason might soar away to other subjects, climes or ages.

Remember that the Intellect is always active and busy, and the question for us to answer in our own case is—shall it co-operate with the senses or the matter before us, or shall it wander away?

What the geometrical student requires and what we all require in such cases is to compel the Intellect to stay with the Senses, and follow the printed train of thought.

Interest in the subject helps to secure this co-operation. And the Process or Method of study, if it be an Assimilating one, also compels this co-operation. And one of the processes which is most of all effective in training the Intellect to obey the Will and thereby to stay with the Senses (where it is not a case of pure reflection), and thereby to institute and develop the Habit of the activity of the Intellect co-operating with the action of the mere senses, is practice in the use of the Laws of In., Ex., and Con. To illustrate: In reciting the last training example of one hundred words, the Directory power is exercised and then the Inhibitory power is brought into play, and so on alternately. Suppose the reciter has got to “Signatures.” If he does not inhibit or exclude from his mind the word “Petition” he can make no advance. If he dwells upon “Petition” he will never reach “Cygnet.” But if he inhibits “Petition” his Directory power sends him on to “Cygnet,” and then inhibiting “Signatures” he proceeds from “Cygnet” to “Net,” &c., &c. In this most simple, elementary way he exercises and trains the Directory and Inhibitory functions to co-operate in recalling the entire Series, and notice how many distinct and separate times he has exerted the Directory function and how many times the Inhibitory function in reciting a short series. And if he has learned this and other Series as I direct and then recites them forward and backward as long as I require, he is sure to greatly strengthen his Attention and thereby habituate the intellect to stay with the senses and thereby help to banish mind-wandering. And when the Intellect is thus trained into the Habit of staying with the sense of sight or hearing in reading or listening, the geometrical or other student can keep his mind on the subject before him until it is mastered.

IMPORTANT CHARACTERISTICS OF ANALYSIS.

It sometimes happens that we wish to quickly learn five or twenty Proper Names, the whole or part of which are entirely new to us, as a list of members of a committee, a series of facts in science, &c. We can usually do this by Analysis.

Recollective Analysis, or Analysis for the purpose of helping to learn by heart, is not an originating or manufacturing process. It simply finds relation already existing between the words or the ideas which the words suggest or evoke. But where there is no existing relation between the words or ideas, it is a case for Synthesis, to be taught hereafter.

The highest Analysis relates to objects, or rather to the ideas we have of them, and the lowest to mere words, to mere articulated sounds, or their written or printed representatives. The great body of examples and illustrations in my lessons pertain to ideas; but in the list of twenty-four Presidents I deal with the proper Names as words only, as words or articulated sounds—words which are nearly devoid of meaning except as marks or sounds for naming persons, or as words containing syllables which may have a general meaning in other applications. I need scarcely add that the Laws of In., Ex., and Con. apply to words merely as well as to the ideas which are, of course, suggested by the words. Let me illustrate: Ulysses S. Grant was succeeded by Rutherford B. Hayes. The initial syllables of Ulysses and of Rutherford make an inclusion by sound. The “U” of Ulysses is pronounced as if spelled “You.” We then have in effect “You” and “Ru,” or “You” and “Ruth”—when we are supposed to pronounce the “u” in Ruth as a long “u;” but if it be considered to be a short sound of “u,” it is only a weak case of In. by s. But if the pupil shuts his eyes, such inclusions will not be observed. It is true that such application is not so high or grand as when they govern ideas, but it is equally genuine. It is only a lower stratum, but still it is a part of terra firma, and on no account is it to be ignored.

Ideas are never words nor are words ever ideas, but words become so associated with ideas by habit, or by the Law of Concurrence, that they arouse certain ideas whenever they are used. They are used as signs of ideas—as the means of communicating them. There is rarely, if ever, any necessary connection that we can discover between a particular idea and the word used to stand for it. Not only do different nations use different words or sounds to arouse the same thought, but different words in the same language are sometimes used to portray practically the same idea, as in the case of Mariner, Sailor, Seaman, Jack Tar, Navigator, Skipper, &c., &c. Nor is this all—the same sound may awaken different ideas, as “I” and “Eye.” In the first case “I” stands for the person using it, and in the last case it means the organ of sight. To the eyesight they are obviously unlike. It may be well to remark that in imposing a name in the first place, a reason may exist why that name is given, as Albus (white) was given to the mountains, now more euphoniously called Alps, because they were white or snow-crowned; but Alps does not mean white to the moderns. The word now merely indicates or points out the mountains so called. A word may survive and take a new meaning after its original meaning is no longer ascertainable.

The context helps us to know which meaning of the word was intended when the word is spoken, and the context and spelling tell the same thing when writing or print is used. Take the words “Hounds, Bark.” Here Bark means the cry or yelp of the dogs. But in “Tree, Bark,” the Bark of the tree is suggested. Yet the word Bark is spelled precisely the same in both cases. The word spelled “Bark” is really used to express two different things and the context generally tells which is meant in any particular case.

Individual letters become so strongly associated with a particular meaning that although the vocal value is exactly the same, yet the one spelling goes to one man and the other to a different man. “Spenser” would never suggest to a learned man the author of the “Philosophy of Evolution,” nor would “Spencer” ever suggest the author of the “Fairie Queen.” “Mr. Mil” would never mean “John Stuart Mill,” although the words “Mil” and “Mill” are pronounced exactly alike. We sometimes cannot recall a Proper Name, yet we feel sure that it begins or ends with S or K or L, or that a certain other letter is in the middle of the word. We usually find that we were right. In these cases our clue to the entire word was found in only one letter of it.

Noticing that the same letter is in common to two words, although all the other letters may be different, is one case of Inclusion by spelling. Take an example: President John Tyler was followed by President James K. Polk. Analyse the two names—Tyler and Polk. The letter “l” alone is common to the two names. Here is one letter found in totally unlike contexts. If this fact is noticed, it cannot but help hold those two names together. The exercise of learning the names of the twenty-four Presidents is a good one for this purpose. It has a training value entirely apart from its practical value in that case. And I give it for its training value alone.

It is infinitely better for him to learn by analysis the order of the Presidents than to learn that order by the only other method the pupil has heretofore known, viz., endless repetition. When the pupil thinks a relation may be weak, let him consider that a weak relation thought about is a hundred-fold stronger than mere repetition without any thinking at all. It is either thoughtless repetition, or thoughtful Analysis that he must use. ←ToC


HOW TO LEARN PROPER NAMES IN A CERTAIN ORDER OF SUCCESSION.

The true way to learn such lists as those of the Popes of Rome, the Kings of England and of the American Presidents is to learn them in their places in History, as parts of the Historical order of events to which they belong, as facts in the chain of causes and effects.

Their Terms, Administrations, or Reigns are, however, used by historians as landmarks, and to follow the historians to the best advantage, it may be desirable to know the series as such, as a useful preparation for the study of the Times and age. But whatever the advantages of knowing the order of the American Presidents, I deal with it here solely for the training effect in Analysis and as an example of a method of dealing with any list of mere names.

The mode of dealing with this Presidential series will show how all similar Series may be handled during the period of the pupil’s training. I divide the series or list of the twenty-four American Presidents into three Groups: the first Group containing seven names, the second having eight names, and the third having nine names. The number of names in each Group is easily remembered: 7, 8 and 9.

The first Group contains the names of

  • George Washington,
  • John Adams,
  • Thomas Jefferson,
  • James Madison,
  • James Monroe,
  • John Q. Adams,
  • Andrew Jackson.

If the student has mastered the previous exercises, he ought to be able to analyse this Group of names with the greatest ease. Let him try, and if he fail, then let him study my Analysis as given below. Points of Analysis that appear weak to me may be strong for him, or vice versa. At all events, let him if possible learn each of the three Groups by his own Analysis, looking at my work afterwards.

FIRST GROUP.
Period of Organisation and Consolidation.

George WashingTON. JOHN Adams. } In.

“Ton” and “John” make a fairly good In. by sound.

JOHN Adams.          THOMas Jefferson. } In.

“John” and “Thom” (the “h” is silent in both names) make an In. by sound, imperfect but adequate if noticed.

Thomas JefferSON. James MadiSON. } In.

Both names terminating with the same syllable, “son”, makes a clear case of In. by sound and spelling.

JAMES Madison. JAMES Monroe. } In.

This pair of names furnishes an example of perfect In. by sound and spelling in the Christian names.

James MONroe.   JOHN Q. Adams. } In.

“Mon” and “John” give us a good In. by sound.

JOHN Q. Adams.    Andrew JACKson. } In.

“Jack” is a nickname for John—a case of Synonymous In.

Now let the pupil repeat from memory the series from George Washington to Andrew Jackson at least five times, each time recalling and realizing how each pair of names was linked together. After this let the list be recalled several times forward and backward, and more rapidly each time, without recalling the analysis.

Remarks.

1. This group may well be termed the “Long-Term Group,” since all of the seven Presidents except John Adams and his son, John Q. Adams, served two terms.

2. Three of the members of this group died after the close of their terms of office, on the natal day of the Republic, viz., John Adams and Thomas Jefferson, on the 4th of July, 1826, and James Monroe on the 4th of July, 1831.

3. This group also might be called the “J” group, since the initial letter of the Christian name or surname of every member of it begins with “J” or its phonetic equivalent, soft G, as George Washington, John Adams, Thomas Jefferson, James Madison, James Monroe, John Q. Adams, and Andrew Jackson.

SECOND GROUP.
Period of Territorial Expansion and the Growth of Internal Dissension.

ANDREW Jackson.  Martin VAN BUren. } In.

Two examples of In.: “An” and “Van”, and “rew” and “Bu.”

Martin Van BuREN.         William HENry Harrison. } In.

A good Inclusion occurs in the case of “ren” and “Hen.” The name William belonged to no other of the twenty-four Presidents.

William HENry Harrison. John TYler. } In.

A fair example of In. by Sight [“y” occurs in both names] is furnished by the syllables “ry” and “Ty.”

John TyLer.      James K. PoLk. } In. & Con.

The letter “l” belongs to both surnames but there is no other letter in common. John and James is a case of Con., for both occur together many times in the New Testament.

“K” is pronounced as if spelled “Kay,” a good In. with “Tay.”

ZachARy Taylor. MillARd Fillmore. } In.

The letters “ar” occur in both the Christian names.

MillARd Fillmore. FrANklin Pierce. } Con.

The “ar” of Millard and the “an” of Franklin is a case of Con. reversed, i.e., “an” and “ar” is Con. since “n” precedes “r” in the Alphabet. Here the alphabetical order is reversed.

FrANklin Pierce.     James BuchANAN. } In.

The “an” in Franklin is identical in spelling and in sound with the two “ans” in Buchanan.

Let the student recall the series of names from Andrew Jackson to James Buchanan several times, and at each recall let him also recall the relation which bound the pairs together, and then let him recall the series from Washington to Buchanan, both forward and backward, without consciously reviving the relations.

Remarks.

1. This may be called the “Single Term Group,” since none of the group served more than one term.

2. The group is notable for the fact that it is the only one in which two Presidents (William Henry Harrison and Zachary Taylor) died natural deaths while in office.

THIRD GROUP.
Period of Civil War and Reconstruction.

JAMes Buchanan.   AbrahAM Lincoln. } In.

This pair of names furnishes an In. by spelling, not sound, “am” in both, but not pronounced alike. This must be noticed, as it is a weak In.

The “l” in “coln,” and the “h” in “John” are silent. It is a case of In. by sound. To the ear the sound of “Con.” is like that of “Jon.”

ANdrew Johnson. Ulysses S. GrANt. } In.

“An” in Andrew and in Grant has the same sound.

UlyssES S. Grant.         Rutherford B. HayES. } In.

“Es” in Ulysses and in Hayes is the same in spelling—but not in sound. It must be noticed, as it is the weakest of all. A stronger tie has heretofore been given.

Rutherford B. HAYes. James A. GarFIELD. } Con.

There is a strong association between Hay of Hayes and and the field of Garfield, as in the familiar word “Hayfield.”

James A. GARfield. Chester A. ARthur. } In.

In “Gar” and “Ar” there is a strong In. by sound.

Chester A. ArTHUR. GroVER Cleveland. } In.

Between “thur” and “ver” there is a clear In. by sound.

Grover ClevelANd.    BenjAMin Harrison. } Con.

There is a fair In. by sound between “an” and “am;” but as they are alphabetically reversed, it makes a case of Con. reversed.

BenjAMin Harrison. Grover ClevelANd. } In. & Ex.

Here “am” and “an” occur in alphabetical order, and is a case of In., and “jam,” meaning pressing together, and “cle(a)ve” meaning to separate, are opposites, hence it is also an example of Exclusion.

Let the student, as in the case of the other groups, recall this list several times, and each time revive the relation by which each pair of names was cemented together, and after this let him recall this list several times both ways without reviving the cementing relations, and finally let him recall several times, both ways, the entire series of Presidents from Washington to Cleveland, and from Cleveland to Washington.

Remarks.

1. This group furnishes the notable fact that two Presidents (Lincoln and Garfield) were assassinated while in office.

2. Another peculiarity of this group is that, for the first time since the days of Washington, there was a widespread discussion and effort made to push the claims of a President (Grant) for a third term.

3. This group contains the name of the grandson (Benjamin Harrison) of William Henry Harrison, of the second group. The only other instance of relationship between the Presidents was in the case of John Adams and his son, John Quincy Adams of the first group.

4. This group contains the name of the only President (Andrew Johnson) who was ever sought to be impeached. The prosecution failed to convict, having lacked one vote of the number necessary for a conviction.

5. Grover Cleveland affords the first instance where the two terms of a President are separated by the full term of another President (Benjamin Harrison). ←ToC


ENGLISH SOVEREIGNS.
A UNIQUE EXERCISE.

The method here used of memorising the order of the English sovereigns from William I., the Conqueror, to Victoria possesses the following novelties:—

(1) We learn the order of the entire series of thirty-seven sovereigns by means of the relations, direct and indirect, which we establish with the reigning sovereign, Victoria.

(2) The precise credit is claimed for this method which it is entitled to receive. In a list of proper names we sometimes have several surnames alike, with usually a difference of Christian names, as in the presidential series we have—William Henry Harrison and Benjamin Harrison, and John Adams and John Quincy Adams, and we also sometimes have the same Christian names prefixed to different surnames, as James Madison and James Monroe. But in the Sovereigns of England, from William I. to Victoria, we have many Christian names alike, and the differences indicated by ordinal numbers, as George I., George II., George III., George IV. This order of the English Kings is most extraordinary, neither the Popes of Rome, nor the French, nor any other list of kings, furnishing any parallel in more than a few incidents. It is these unique coincidences and recurrences that make it so easy to find relations between these sovereigns. This method is not applicable to the American Presidents, Prime Ministers of England, or hardly any other series.

(3) No accidental relations of parts of names is resorted to, as was done in the case of the American Presidents.

(4) The series is so taught that it can be recited forwards and backwards—the only true test of learning any series.

(5) The series is completely worked out and nothing is left to chance or possible mistakes so liable to be committed by novices in dealing for the first time with a new process that has to be applied to many details.

(6) When the series is carefully studied and the relations painstakingly characterised, it is quickly learned and it is hard to forget.

(7) When the series is learned by this method and the relations are occasionally reviewed and identified, its recital both ways once or twice a day for a month helps to develop the Attention as well as the Assimilative powers.

(8) The exact name of each Sovereign is learned. The student relies on real relations and names, and not on unidentified jingles of threes and threes and twos and twos, like three Edwards and three Henrys and two Edwards and two Henrys, with the inevitable necessity of having afterwards to learn which Edward and which Henry was meant, &c. But summations can follow specifications.

(9) Pestalozzi [1745–1827] taught that we must proceed from the “known” to the “unknown;” but this principle mainly applies to learning the words of a foreign language. When we begin to learn such words they are wholly unknown to us. But in learning ordinary series of names or prose or poetry by heart, all the names and words used may be equally well known by us; but it is mainly the order in which these occur that we wish to memorise, and we begin at the beginning and proceed as we learn on from the Better Known or Best Known. In the list of American Presidents the series extends back to a little more than a century; but in the case of the English Sovereigns, when we begin with the Conqueror, the series extends back to 1066—upwards of 800 years—and, although in such a series the names of all the Sovereigns may be known, yet the latest is vastly better known to us than the earliest. In such a case it may be most useful to begin with the Best Known.

(10) Fortunately in this case the Best Known Sovereign is a pivot around which all the other Sovereigns are directly or indirectly related. How, we will proceed to show. Something of the method will be intimated by the difference of type and spaces between the names:—

  • William I.
  • William II.
  • Henry I.
  • Stephen.
  • Henry II.
  •  
  • Richard I.
  •  
  • John.
  • Henry III.
  • Edward I.
  • Edward II.
  • Edward III.
  •  
  • Richard II.
  •  
  • Henry IV.
  • Henry V.
  • Henry VI.
  • Edward IV.
  • Edward V.
  •  
  • Richard III.
  • Henry VII.
  • Henry VIII.
  • Edward VI.
  • Mary.
  • Elizabeth.
  • James I.
  • Charles I.
  • Council of State and Parliament.
  • Oliver Cromwell.
  • Richard Cromwell.
  • Council of State and Parliament.
  • Charles II.
  • James II.
  • William III. and Mary.
  • Anne.
  • Henry IV.
  • George I.
  • George II.
  • George III.
  • George IV.
  • William IV.
  • VICTORIA.

We begin with the Best Known, or Victoria, and we take note that she is an independent Queen, since she has never shared sovereignty with anyone; but Mary, of “William III. and Mary,” was not an independent Queen, because she did share the Sovereign Power with her husband. Hereafter, when I use the word Queen I mean an independent Queen, except when Mary, of “William III. and Mary,” is mentioned, and her name will be used only in Connection with William III. England has had only four independent Queens, namely, Mary [Tudor], Elizabeth, Anne, and Victoria.

(I.) Victoria is the last queen and Mary was the first queen [Exclusion between first and last, or Ex.], and Mary, first queen, was preceded by the last Edward, or Edward VI. [Ex.] And Mary, the first queen, was followed by the the first and only Elizabeth [In.] And the first and only Elizabeth was followed by James the First, or I. [In.] Again, Queen Elizabeth was followed by King James, making a clear case of Ex. Again, Anne, the third queen, was preceded by Wm. the Third, or III., and Mary [In.] And these two co-equal Sovereigns were preceded by James the Second, or II. [In., between cardinal number two and the ordinal number Second]. This series of Queens concludes with Victoria the fourth Queen, who was preceded by William the Fourth, or IV. [In.], and William the Fourth, or IV., was preceded by George the Fourth, or IV. [In.]; and George IV. by George III., and he by George II., and he by George I.,—a concurrence reversed, and William IV. was preceded, as we have seen, by William III. and Mary—and William III. by William II., and William I. at the very beginning of the series—Con.

Now let us recall in the forward and reverse order what we have learned so far. William I., William II., Edward VI., Mary, Elizabeth, James I., James II., William III. and Mary, Anne, George I., George II., George III., George IV., William IV., and Victoria, and the order reversed is Victoria, William IV., George IV., George III., George II., George I., Anne, William III. and Mary, James II., James I., Elizabeth, Mary, Edward VI., William II., William I.

(II.) Disregarding for the moment the four periods of what is usually called the Commonwealth, we see that between Elizabeth and William III. and Mary, are four monarchs, the two James and the two Charles. We have already learned that Elizabeth was followed by James I. and that William III. and Mary were preceded by James II. Hence we see that the two Charles must come between the two James, and, of course, that Charles I. must precede Charles II., and that the order of these four monarchs must be James I., Charles I., Charles II., and James II.—a plain case of Con. reversed. We saw that there were two of these four monarchs before the Commonwealth; there must then be two after it, making James I. and Charles I. before the Commonwealth and Charles II. and James II. after it.

On the day that Charles I. was executed (January 30, 1649), the Parliament (the House of Commons) abolished the kingly office and House of Lords, and appointed a Council of State of 41 members, which with the House of Commons was to be the government. Intermediate then between Charles I. and Charles II. there came—

Here we see there was a Council of State and Parliament at the beginning and close of these intermediates, and between them came Oliver Cromwell and his son, Richard Cromwell. Charles I., followed by Council of State and Parliament, made a case of Exclusion and the Council of State and Parliament, followed by the Protector Oliver Cromwell, gives another example of Ex. and a case of In. between Oliver Cromwell and his son Richard, who inherited the protectorate, but a case of Ex. again between the powerful Oliver and his weak son Richard, and another example of Ex. between the protectorate of Richard Cromwell and the Council of State and Parliament, and another between the latter and the full-fledged monarchy of Charles II.

Now review what we have learned so far and we have William I., William II., Edward VI., Mary, Elizabeth, James I., Charles I., Council of State and Parliament, Oliver Cromwell, Richard Cromwell, Council of State and Parliament, Charles II., James II., William III. and Mary, Anne, George I., George II., George III., George IV., William IV., and Victoria. Reverse the recital and we have Victoria, William IV., George IV., George III., George II., George I., Anne, William III. and Mary, James II., Charles II., Council of State and Parliament, Richard Cromwell, Oliver Cromwell, Council of State and Parliament, Charles I., James I., Elizabeth, Mary, Edward VI., William II., and William I.

(III.) We now proceed to learn the eighteen kings intermediate between William II. and Edward VI. We notice at once that the first and last of these intermediates are the first and last Henrys [Ex.], viz., Henry I. and Henry VIII. We see also that Henry the First, or I., is followed by Henry the Second, or II. [Con.], with the first and only Stephen as the first single intermediary [In.]. Returning to Edward VI., we see that he, the last Edward, is preceded by Henry VIII., or the last Henry [In.] We also notice that Edward VI. is preceded by Henry VI., and Henry VI. by Henry III., or the half of six [In. by W. and P.]. Finally we observe that between William II. and Mary, there are three series of kings completed—eight Henrys, six Edwards, and three Richards. Making the three Richards reference points we can easily fix the residue of the eighteen kings for we see that Richard I. or the First, is preceded by Henry II. and followed by Henry III., with the first and only John as the second single intermediary [In.] and that Richard II. is preceded by Edward I., Edward II., and Edward III., or three Edwards, and followed by Henry IV., Henry V., and Henry VI., or three Henrys, and that Richard III. is preceded by Edward IV. and Edward V., or two Edwards, and followed by Henry VII. and Henry VIII., or two Henrys.

Recalling the succession from William I. to Edward VI., we have William I., William II., Henry I., Stephen, Henry II., Richard I., John, Henry III., Edward I., Edward II., Edward III., Richard II., Henry IV., Henry V., Henry VI., Edward IV., Edward V., Richard III., Henry VII., Henry VIII., Edward VI. Reversing the order, we have Edward VI., Henry VIII., Henry VII., Richard III., Edward V., Edward IV., Henry VI., Henry V., Henry IV., Richard II., Edward III., Edward II., Edward I., Henry III., John, Richard I., Henry II., Stephen, Henry I., William II., and William I.

We conclude with the recital both ways of the thirty-seven Sovereigns from William I. to Victoria.

  • VICTORIA.
  • William IV.
  • George IV.
  • George III.
  • George II.
  • George I.
  • Anne.
  • William III. and Mary,
  • James II.
  • Charles II.
  • Council of State and Parliament.
  • Richard Cromwell.
  • Oliver Cromwell.
  • Council of State and Parliament.
  • Charles I.
  • James I.
  • Elizabeth.
  • Mary.
  • Edward VI.
  • Henry VIII.
  • Henry VII.
  • Richard III.
  • Edward V.
  • Edward IV.
  • Henry VI.
  • Henry V.
  • Henry IV.
  • Richard II.
  • Edward III.
  • Edward II.
  • Edward I.
  • Henry III.
  • John.
  • Richard I.
  • Henry II.
  • Stephen.
  • Henry I.
  • William II.
  • William I.
←ToC

NUMERIC THINKING.
HOW TO NEVER FORGET FIGURES AND DATES.

When my pupils have gained the quick perception and instantaneous apprehension which always reward the studious use of In., Ex., and Con., they can, amongst other new achievements, always remember and never forget figures and dates.

Pike’s Peak, the most famous in the chain known as the Rocky Mountains in America, is fourteen thousand one hundred and forty-seven feet high. Instantly, one who is trained in the use of In., Ex., and Con., perceives that there are two fourteens [Syn. In.] in these figures, and that the last figure is half of fourteen, or 7 In. by W. and P., making 14,147. Of course, one who is not practised in analogies, in discovering similarities and finding differences would not have noticed any peculiarity in these figures which would enable him to remember them. Few people ever notice any relations among numbers. But any possible figures or dates always possess relations to the mind trained in In., Ex., and Con.

Fujiyama, the noted volcano of Japan, is twelve thousand three hundred and sixty-five feet high. Does any pupil who has mastered the first lesson and who is expert in the use of In., Ex., and Con., fail to notice that here we have the disguised statement that the height of this mountain is expressed in the number of months and days of the year, 12,365 feet high? These figures drop into that mould and henceforth are remembered without difficulty. These are remarkable coincidences no doubt, but are not all sets of figures similarly impressive coincidences to the trained eye, and the active, thinking and assimilative mind?

No reader of English history has failed to notice the three sixes in the date of the Great Fire in London, viz., 1666. The “three sixes” are generally resorted to as a signal for fire companies to turn out in full force; yet such a coincidence of figures in a distant date makes a slight impression compared to the vividness of events that happened in the year of our birth, the year of graduation from school, the year of marriage, and the year of the death of relatives, &c., &c. Keep a small blank book for such entries, not to help remember the dates or facts, but to have them together so as to rapidly deal with them, to classify them and otherwise study them under the eye. You will soon be astonished at the accumulation.

The population of New Zealand, exclusive of natives, is 672,265. Bringing the first two figures into relation with the last two we have 67 and 65—a difference of 2 only. The two groups of 672 and 265 have the figure 2 at the end of the first group, and another 2 at the beginning of the second group. These two twos are in sequence (Con.), and each of them expresses the difference between 67 and 65. Thought about in this way, or in any other, the series becomes fixed in mind, and will be hard to forget.

The population of Sydney is 386,400. Here are two groups of three figures each. The first two figures of the first group are 38, and the first two figures of the second group are 40—a difference of 2. Two taken from 8 leaves 6, or the third figure of the first group, and 2 added to the first figure of the second group makes 6. The 40 ends with a cypher, and it is a case of Syn. In. that the last figure of the second group or the third figure of it should likewise be a cypher. Besides, those who know anything at all about the population of Sydney must know that it is vastly more than 38,640, and hence that there must be another cypher after 40, making the total of 386,400.

The population of Melbourne is 490,912. Here we have 4 at the beginning and half of 4 or 2 at the end of the six figures. The four interior figures, viz., 9091 is a clear case of Con.—or 90 and 91. Then again 91 ending with 1, the next figure is 2—a case of sequence or Con. But 490,912 is the population of the city of Melbourne with its suburbs. The “city” itself contains only 73,361 inhabitants, 73 reversed becomes 37—or only 1 more than 36. This 1 placed at the end of or after 36 makes the 361. Now 37 reversed is 73, and then follows 361, making the total to be 73,361.

Let the attentive pupil observe that this method does not give any set of rules for thinking in the same manner in regard to different sets or example of numbers. That would be impossible. Thinking or finding relations amongst the objects of thought must be differently worked out in each case, since the figures themselves are differently grouped.

The foregoing cases in regard to population will suffice for those who live in the Australian colonies, and to others they will teach the method of handling such cases, and leave them the pleasure of working out the process in regard to the population where they reside, or other application of the method they may wish to make.

Great encouragement is found in the circumstance that after considerable practice in dealing with numerous figures through In., Ex., and Con., new figures are self-remembered from the habit of assimilating numbers. They henceforth make more vivid impressions than formerly.

Inclusion embraces cases where the same kind of facts or the principles were involved, or the same figures occur in different dates with regard to somewhat parallel facts—End of Augustus’s empire [death] 14 A.D.—End of Charlemagne’s [death] 814 A.D., and end of Napoleon’s [abdication] 1814 A.D.

Exclusion implies facts from the opposite sides relating to the same events, conspicuously opposite views held by the same man at different periods, or by different men who were noticeably similar in some other respects, or antithesis as to the character or difference in the nationality [if the two nations are frequent foes] of different men in whose careers, date of birth, or what not, there was something distinctly parallel—Egbert, first King of England, died 837. William IV., last King of England, died 1837. What a vivid exclusion here for instance: Abraham died 1821 B.C., and Napoleon Bonaparte died 1821 A.D.

Concurrences are found in events that occur on the same date or nearly so, or follow each other somewhat closely.

Charles Darwin, who advocated evolution, now popular with scientists in every quarter of the globe, and Sir H. Cole, who first advocated International Exhibitions, now popular in every part of the world [Inclusion] were born in the same year 1809 [Concurrence] and died in the same year 1882 [Concurrence].

Garibaldi [the Italian] and Skobeleff [the Russian] [Exclusion, being of different countries], both great and recklessly patriotic generals [Inclusion] and both favourites in France [Inclusion], died in the same year, 1882 [Concurrence]. Longfellow and Rossetti, both English-speaking poets [Inclusion] who had closely studied Dante [Inclusion] died in the same year, 1882 [Concurrence].

Haydn, the great composer, was born in 1732, and died in 1809; this date corresponds to that of the birth [Exclusion and Concurrence] of another famous composer [Inclusion], Mendelssohn, who himself died in 1847, the same year as O’Connell.

Lamarck [1744–1829], advocated a theory of development nearly resembling the Darwinian Theory of the Origin of Species [In.]. This he did in 1809, the year in which Charles Darwin was born [Con.]. Darwin’s writings have altered the opinions of many as to the Creation, and the year of his birth was that of the death of Haydn, the composer of the Oratorio “The Creation.” [Con. and Ex.].

John Baptiste Robinet taught the gradual development of all forms of existence from a single creative cause. He died in 1820, the year in which Herbert Spencer, the English Apostle of Evolution, was born [In., Ex., and Con.].

Galileo, founder of Modern Astronomy, born in 1564—Shakespeare’s birth year [Con.]—died in 1642, the very year in which Sir Isaac Newton was born. Galileo’s theory was not proved but merely made probable, until the existence of the laws of gravitation was established, and it was Newton who discovered gravitation. This is an instance of Inclusion as to the men, of Exclusion and Concurrence as to date of birth and death.

Two prominent literati [Inclusion], one a Frenchman the other an Englishman [Exclusion], well-known for the pomposity and sonority of their style of writing [Inclusion], were born in the same year, 1709, and died the same year 1784, a double Concurrence—Lefranc de Pompignan—[pompous In. by S.], and Samuel Johnson.